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Finding the Fourth Proportional to 129,025.40, 193,538.10 and 34,255.40

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Solution

The fourth proportional to 129,025.40, 193,538.10 and 34,255.40 is: 51,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,025.40 : 193,538.10 = 34,255.40 : x
  2. Step 2: Convert to fraction form
    129,025.40/193,538.10 = 34,255.40/x
  3. Step 3: Cross multiply
    129,025.40x = 193,538.10 × 34,255.40
  4. Step 4: Simplify right side
    129,025.40x = 6,629,725,030.74
  5. Step 5: Solve for x
    x = 6,629,725,030.74/129,025.40
  6. Step 6: Final answer
    x = 51,383.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.